I do not believe that surgeons actually use the "surgeon s knot"...
Ashley reports that, during 20 years, he had questioned nearly 200 surgeons, and he had found that over 70% of them tied the [non-glorified] Granny knot, and not the "well known" Surgeon s knot....( :
"surgeons do not speak of the "Surgeon s knot", any more than a sailor would speak of a "Sailor s knot " , i.e, never !

). I do not believe that the situation has changed dramatically since Ashley s time, so I reckon that most surgeons, when they will tie a Surgeon s-like knot, they will most probably start from a Granny, and not from a Reef ( Square, Hercules) knot. I think that this is probably due to the fact that the direction of circular motion of the hands/scissors holding the working ends should be reversed during the second stage of the tying of a Reef knot - but not of a Granny knot. Perhaps the Granny knot is a more "natural" knot to tie than a Reef knot, because our hands somehow "remember", and, when they repeat a circular motion after a few moments, they have the tendency to follow the same direction with the one they had followed previously.
A more correct name for the knot presented in this thread would probably be the somewhat heavy
" Double antisymmetric Surgeon s knot ", or the more light
" 2x2 Granny knot ". (?)
...see all bends as particular untucked or re-tucked generalized Carrick mats.
I was quite impressed by the unexpected - at least for me - finding, that so many well-known bends were just simple symmetric re-tuckings of a particular Carrick mat ( Hunter s, Shakehands, Alpine Butterfly, Ashley s (ABoK1452), ABoK#1408 )(1)(2) Another family of bends, not so well-known, emerged from a re-tucking of another Carrick mat. (3). So,from there it was a small only step to ask oneself if this is also the case for other bends as well - indeed, for
all the other simple, practical bends - i.e., if we can tie all - or at least the most of - the simple practical bends, starting from Carrick mats. I was not aware, at the time, that Ashley had also the same idea, although it seems that he had not applied it to some of his own bends...

( See ABoK , p. 274, #1546 - #1556 ).
1.
http://igkt.net/sm/index.php?topic=3251.msg19606#msg196062.
http://igkt.net/sm/index.php?topic=2826.msg19395#msg193953.
http://igkt.net/sm/index.php?topic=3086.msg18494#msg18494